Revised limit cycle oscillator model of human circadian pacemaker
Revised limit cycle oscillator model of human circadian pacemaker
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DOI：
10.1177/074873099129001064
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发表时间：
1999-12-01
影响因子：
3.5
通讯作者：
Kronauer, RE
中科院分区：
文献类型：
--
作者：
Jewett, ME;Forger, DB;Kronauer, RE
1990年，Kronauer提出了一个光对人类昼夜节律起搏器影响的数学模型。本研究对Kronauer的起搏器原始模型进行了几项改进，使其能够更准确地预测光刺激强度，时间和持续时间对人类昼夜节律起搏器影响的一些不同研究的实验结果。这些改进包括：用高阶极限环振子代替Kronauer模型中的货车der Pol振子，使系统的振幅恢复在奇点附近慢，在极限环附近快; Kronauer模型中对光敏感性的昼夜节律的相位和幅度已经被改进，使得极限周期上对光的峰值敏感性现在类似于至4 h时的最低体温（CBTmin），是极限环上最低灵敏度的3倍;关键阶段在CBTmin时出现的相位响应曲线（1型相位响应曲线[PRCs]可与0型PRCs区分开来）现在对应于该改进模型中x（x（min））最小值后0.8 h，而不是x（min）的确切时间如在Kronauer的模型中;光对昼夜节律周期的直接影响被并入模型中，使得随着光强度增加，周期减小，这与Aschoff规则一致。
In 1990, Kronauer proposed a mathematical model of the effects of Light on the human circadian pacemaker. This study presents several refinements to Kronauer's original model of the pacemaker that enable it to predict more accurately the experimental results from a number of different studies of the effects of the intensity, timing, and duration of Light stimuli on the human circadian pacemaker. These refinements include the following: The van der Pol oscillator from Kronauer's model has been replaced with a higher order limit cycle oscillator so that the system's amplitude recovery is slower near the singularity and faster near the Limit cycle; the phase and amplitude of the circadian rhythm in sensitivity to light from Kronauer's model has been refined so that the peak sensitivity to light on the Limit cycle now occurs similar to 4 h before the core body temperature minimum (CBTmin) and is three times as great as the minimum sensitivity on the limit cycle; the critical phase (at which type 1 phase response curves [PRCs] can be distinguished from type 0 PRCs) that occurs at CBTmin now corresponds to 0.8 h after the minimum of x (x(min)) in this refined model rather than to the exact timing of x(min) as in Kronauer's model; a direct effect of Light on circadian period was incorporated into the model such that as light intensity increases, the period decreases, which is in accordance with Aschoff's rule.